Multiplicity of Radially Symmetric Small Energy Solutions for Quasilinear Elliptic Equations Involving Nonhomogeneous Operators

Jun Ik Lee and Yun-Ho Kim
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Jun Ik Lee: Department of Mathematics Education, Sangmyung University, Seoul 03016, Korea
Yun-Ho Kim: Department of Mathematics Education, Sangmyung University, Seoul 03016, Korea

Mathematics, 2020, vol. 8, issue 1, 1-15

Abstract: We investigate the multiplicity of radially symmetric solutions for the quasilinear elliptic equation of Kirchhoff type. This paper is devoted to the study of the L ∞ -bound of solutions to the problem above by applying De Giorgi’s iteration method and the localization method. Employing this, we provide the existence of multiple small energy radially symmetric solutions whose L ∞ -norms converge to zero. We utilize the modified functional method and the dual fountain theorem as the main tools.

Keywords: radial solution; quasilinear elliptic equations; De Giorgi iteration; modified functional methods; dual fountain theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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